Answer:
\(\boxed{\sf \ \ x = 1 \ \ }\)
Step-by-step explanation:
Hello,
First of all we need to take x different from 3 as dividing by 0 is not allowed
then for x real different from 3
\(f(x)=0\\\\<=> \dfrac{x-1}{x-3}=0\\\\<=> x-1 = 0\\\\<=> x = 1\)
hope this helps
Triangle MNO is a right triangle with one leg = 15ft and the other leg = 18ft. Calculate the
length of the hypotenuse to the nearest hundredth of a foot (2 decimal places)
Answer:
Length of the hypotenuse = 23.43ft
Step-by-step explanation:
First leg = 15ft
Second leg = 18ft
Length of the hypotenuse = ?
In a right angle triangle,
Hypotenuse^2 = opposite^2 + Adjacent^2
Let first leg and second leg of the triangle be opposite and adjacent respectively
Hypotenuse^2 = opposite^2 + Adjacent^2
= 15^2 + 18^2
= 225 + 324
= 549
Hypotenuse^2 = 549
Find the square root of both sides
√Hypotenuse^2 = 549
Hypotenuse = 23.43ft to the nearest of a hundredth
Length of the hypotenuse = 23.43ft
When x=-3, then y=______
Answer:-1
Step-by-step explanation:
Answer: -6
Step-by-step explanation:
the line pass through (-3,-6)
If x = 6 and y = 4, work out the value of the following:
4x + y
2y squared
( x - y ) squared
Step-by-step explanation:
If x = 6 and y = 4. Substitute x and y in the expression.
4x+y
4(6)+(4)
24+4
28
2y²
2(6)²
2(36)
72
( x - y )²
(6+4)²
(10)²
100
The owner of a garden center pays $12 for each birdbath. She sells them for 55% more than she paid. Decide whether each expression represents the selling price for b birdbaths.Choose Yes or No for each expression.A.12b1 1. 55(12b) u Yesu Nob. 12(0 . 45b) u Yesu Noc.12b(1. 55)u Yesu Nod. 12(0 . 55b) u Yesu Noe. 12b(1 1 0.55)u Yesu No
Answer:
\(Selling\ Price = 12b(1.55)\)
Step-by-step explanation:
Given
\(Cost\ Price = \$12\)
\(Selling\ Price = 55\%\ more\)
Required
Write an expression for the selling price for b birdbaths
This selling price for 1 birdbath is calculated as:
\(Selling\ Price = Cost\ Price + 55\% * Cost\ Price\)
Substitute 12 for Cost Price
\(Selling\ Price = 12 + 55\% * 12\)
Factorize:
\(Selling\ Price = 12(1 + 55\%)\)
Express percentage as decimal
\(Selling\ Price = 12(1 + 0.55)\)
\(Selling\ Price = 12(1.55)\)
For b birdbaths, the selling price is:
\(Selling\ Price = 12(1.55) * b\)
\(Selling\ Price = 12b(1.55)\)
The options are not clear; However \(12b(1.55)\) answers the question.
Find the 11th term of the geometric sequence 1, 3, 9, ....
Answer:
So lets calculate, we know that the common multiplier is 3. So we can use the geometric sequence formula.
(ar)^(n-1)
So we have 1*3 = 3. 3 to the power of 11-1 = 10. So our answer is 3^10 or 59049. Thats the answer
59049The 11th term of the geometric progression is 59049
What is Geometric Progression?
A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.
The nth term of a GP is aₙ = arⁿ⁻¹
The general form of a GP is a, ar, ar2, ar3 and so on
Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )
Given data ,
The first term of the geometric progression is a = 1
The common ratio r = second term / first term
= 3/1
= 3
The number of terms n = 11
So , the equation to calculate the nth term of a GP is
aₙ = arⁿ⁻¹
Substituting the value of a , n and r we get
a₁₁ = ar¹¹⁻¹
a₁₁ = ar¹⁰
a₁₁ = 3¹⁰
a₁₁ = 59049
Therefore the value of a₁₁ is 59049
Hence , The 11th term of the geometric progression is 59049
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What is the length of each side of a cube with the total surface area of 96 in??
А
4 in.
B
12 in.
16 in
D
24 in.
Answer:
Step-by-step explanation:
4in
If one angle of a triangle measures 100 degrees and another
angle is 45 degrees, then what is the measurement of the
missing angle?
Answer:
35
Step-by-step explanation:
A sheet of plywood is 5/8 in. thick. How tall is a stack of 21 sheets of plywood?
Answer:
13.125 inches
Step-by-step explanation:
5/8*21=13.125
Derivative of 6^(4x)
Add step by step explanation
Answer:
4*6^4x ln(6)
Step-by-step explanation:
6^(4x)
6^4x
-d/dx[6^4x]
ln(6)*6^4x*d/dx[4x]
ln(6)*6^4x*4*d/dx[x]
4ln(6)*6^4x*1
4ln(6)*6^4x
4*6^4x ln(6)
raina, tom, and goran sent a total of text messages during the weekend. goran sent times as many messages as raina. tom sent more messages than raina. how many messages did they each send?
On solving the provided question we can say that - Maria sent = 25 texts, Lamar sent = 18 texts and Joe sent = 36 texts.
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. A mathematical statement called an equation is made up of two expressions connected together by the equal sign. An equation is, for instance, 3x - 5 = 16. This equation's solution yields the value of the variable x as x = 7. The definition of an equation in algebraic terms is a mathematical assertion that two mathematical expressions are equal. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign.
\(4x= 100\\x = 25\)
Maria sent = 25 texts
Lamar sent = 18 texts
Joe sent = 36 texts.
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To "execute" the laws means to
Interpret the laws
Create laws
Make new law
carry out the laws
Answer:
carry out laws and put them in action
What is the Absolute value of |-9-8|?
Answer:
17
Step-by-step explanation:
|-9-8|
Solve what is inside the absolute value
|-17|
Then take the non negative result
17
Answer:
17
Step-by-step explanation:
The answer is 17 there u go
A rectangular prism has a length of 12in, a height of 5in, and a width of 8in. What is its volume, in cubic in?
Answer: 480 in^3
Step-by-step explanation:
v= l * w*h
v = 12 * 8 * 5
v= 480
What are the roots of the polynomial equation x superscript 4 baseline x cubed = 4 x squared 4 x? use a graphing calculator and a system of equations.
Therefore, the roots of the polynomial equation \(x^4 - x^3 = 4x^2 + 4x\) are infinite, and it is not possible to find them precisely using a graphing calculator or a system of equations.
To find the roots of the polynomial equation \(x^4 - x^3 = 4x^2 + 4x\), we can utilize a graphing calculator and a system of equations. Here's how you can proceed: Rewrite the equation to bring all terms to one side:
\(x^4 - x^3 - 4x^2 - 4x = 0\)
Enter the equation into a graphing calculator or any equation-solving software. Look for the x-intercepts or roots of the equation on the graphing calculator. These are the values of x where the graph intersects the x-axis. Alternatively, we can solve the equation using a system of equations. Let's set up the system:
Consider the original equation:\(x^4 - x^3 = 4x^2 + 4x.\)
Rearrange the equation to bring all terms to one side:
\(x^4 - x^3 - 4x^2 - 4x = 0\)
Introduce a new variable, y, to create a system of equations:
\(x^4 - x^3 - 4x^2 - 4x = 0 (Equation 1)\)
\(y = x^4 - x^3 - 4x^2 - 4x (Equation 2)\)
Now, we can solve this system of equations by eliminating y. Subtract Equation 2 from Equation 1:
0 = 0
The result is always true, indicating that there is an infinite number of solutions. This suggests that the equation has infinitely many roots.
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A store is having a 12-hour sale. The total number of shoppers who have entered the store thours after it begins is modeled by the function S defined by $S(t)=0.5 t^4-16 t^3+144 t^2$ for $0 \leq t \leq 12$. At time $t=0$, when the sale begins, there are no shoppers in the store. The rate at which shopper's leave the store, measured in shoppers per hour, is modeled by the function $L$ defined by $L(t)=-80+\frac{4400}{t^2-14 t+55}$ for $0 \leq t \leq 12$. According to the model, how many shoppers are in the store at the end of the sale (time $t=12$ )? Give your answer to the nearest whole number.
The no: of shoppers at the end of the sale is 196 shoppers.
What do you mean by integration?The process of combining smaller parts into a single, cohesive system is known as integration.
What is an example of integration?When different individuals or things are brought together, such as when all of the district's elementary school students attend the new middle school or when snowboarding is introduced to all ski slopes, integration takes place.
The sum of the number of customers within the store at any one time is equal to the number of customers inside at the beginning of the sale plus the number of customers who have just entered minus the number of customers who have just departed.
Given that there were none at the store when the sale began, the assumption is that there were 0 customers there.
The number of customers who have entered the store is provided by the equation S(t)=0.5t4-16t 3 +144t 2S(t)=0.5t 4 16t 3 +144t 2. Accordingly, at t=12t=12, the number of customers who have visited the store is given by S(12)=0.5(12)4-16(12)3+144(12)2=3456S(12)=0.5(12) 4 16(12
The pace at which customers depart the store is determined by the equation L(t)=-80+dfrac-4400t-2-14t+55.
L(t)=−80+ \st \s2 \s −14t+55 \s4400
The total number of customers who have left the store as of time t=12t=12 is, therefore, 012L(t);dt=int 012left(-80+dfrac4400t2-14t+55right);dt approx3260 0 12 L(t)dt= 0 12 (80+ t 2 14t+55 4400)d (Find the value of this integral using a calculator.)
At the conclusion of the sale, there will be 0+S(12)-displaystyleint 012L(t);dt=0+3456-3260=1960+S(12) 0 12 L(t)dt=0+34563260=196 customers in the store.
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Help pls in three it’s homework don’t really have much time left
Answer:
3. Blanks from top to bottom: 3, 9, 54, 62
5. Blanks from top to bottom: 2, 8, 4, 80, 640
Step-by-step explanation:
Use PEMDAS!
3.
6 × (36 ÷ 12)^2 + 8 = 6 × (___)^2 + 8
Solve for the left side to find the blanks:
6 × (3)^2 + 8
6 × 9 + 8
54 + 8
62
5.
320 ÷ (11 - 9^3/2) × 8 = 320 ÷ (___^3/2) × 8
Solve for the left side to find the blanks:
320 ÷ (2^3/2) × 8
320 ÷ (8/2) × 8
320 ÷ 4 × 8
80 × 8
640
SHORT EASY QUESTION PLS HELP)
Find the exact volume if the radius is 7 inches and the height is 18 inches.
Answer:
V≈2770.88Step-by-step explanation:
The radious is 7 inches, that means the diameter is 14 inches.
The height is 18 inches. so...
V=πr2h=π·72·18≈2770.88472
So hence, your answer is
V≈2770.88-------------------------------------------------------------------------------------------------------------
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the anova procedure is a statistical approach for determining whether or not
ANOVA is a valuable tool for comparing means across multiple groups and determining if there are significant differences among them.
What is ANOVA (Analysis of Variance)?ANOVA (Analysis of Variance) is a statistical procedure used to compare the means of two or more groups to determine if there are statistically significant differences among them. It helps to determine whether the observed differences in group means are due to actual group differences or simply due to random variation.
The ANOVA procedure compares the variation within each group (within-group variability) to the variation between the groups (between-group variability). If the between-group variability is significantly larger than the within-group variability, it suggests that there are true differences in the means of the groups.
By performing hypothesis testing, ANOVA calculates an F-statistic and compares it to a critical value from the F-distribution. If the calculated F-statistic exceeds the critical value, it indicates that there are significant differences in means among the groups, and we reject the null hypothesis that all group means are equal.
ANOVA does not identify which specific group means are different from each other; it only tells us if there is a statistically significant difference among the means. To determine which groups are different, posthoc tests or pairwise comparisons can be conducted.
Overall, ANOVA is a valuable tool for comparing means across multiple groups and determining if there are significant differences among them.
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Solve for x:
(5x + 12) = 18
Answer:
x=6/5
Step-by-step explanation:
5x+12=18→ 5x=18-12
5x=6 divide
x=6/5
Answer:
x=6/5
Step-by-step explanation:
(5x+12)=18
5x+12=18
5x=18-12
5x=6
x=6/5
In a class of students, the following data table summarizes how many students play an instrument or a sport. What is the probability that a student chosen randomly from the class does not play an instrument? PLEASEEE HELP
This probability that a randomly selected student from the classroom doesn't really play an item is , which equals 0.5 or 50%.
We have,
Probability is the possibility of something occurring to occur, to clarify. We may talk about the possibility with one result, or the likelihood of several outcomes, when we don't understand how an occurrence will turn out. Biostatistics seems to be the study of things with a probability distribution.
Is the ace a playing card?
The number one is known as the ace and is denoted by the letter A in the majority of Western card games. The ace scores highest, surpassing even the king, in games predicated on the supremacy of one level over the other, such as the majority of trick-taking games.
The total of a number of masculine and female pupils involved in sports represents the total amount of pupils that don't play an instrument.
The sum of the four numbers in the table, , corresponds to the total amount of pupils in the class, or 60 .
So, 0.5 or 50% is the likelihood that a randomly selected student from of the class doesn't really play an instrument.
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A quadrilateral has vertices J(−7, −2), K(0, 4), L(9, 2), and M(2, −4). What is the most precise name for the quadrilateral?
parallelogram
rhombus
square
rectangle
The most precise name for the quadrilateral with vertices J(-7, -2), K(0, 4), L(9, 2), and M(2, -4) is a parallelogram.
To determine the most precise name for the quadrilateral, we can analyze its properties.
A parallelogram is a quadrilateral with opposite sides that are parallel. By examining the coordinates of the given vertices, we can calculate the slopes of the line segments connecting them. If the slopes of the opposite sides are equal, then the quadrilateral is a parallelogram.
For the given coordinates, the slopes of the line segments JK, KL, LM, and MJ are all different. Therefore, the quadrilateral is not a parallelogram.
Since the quadrilateral does not satisfy the properties of a parallelogram, it cannot be classified as a rhombus, square, or rectangle, which are specific types of parallelograms.
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Find the approximate radius of a circle with a circumference of 34.48 inches. Use 3.14 for pie. Round to the nearest hundredth. Please provide steps.
Answer:
around 5.5 inches
Step-by-step explanation:
34.48 = 2rπ
34.48/π = 2r = around 11
r = 11/2
The radius of the circle is equal to 5.49 inches.
What is the area and circumference of a circle?The circumference (or) perimeter of a circle = 2πr units. The area of a circle = πr2 square units. Where r is the radius of the circle. The circumference of the circle or the perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of the circle defines the region occupied by the circle.
here, we have,
Given here:
Circumference as 34.48 inches and π=3.14
Now circumference of the circle is given by
2πr=34.48
r=34.48/2×3.14
r=5.49 inches
Hence, The radius of the circle is equal to 5.49 inches.
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HELP I NEED HELP PLEASE I NEED TO FINISH THIS RIGHT NOW ITS URGENT. WILL BE OFFERED BRAINLIEST
Answer:
102
Step-by-step explanation:
FILL THE BLANK.
in binary representation, any unsigned whole number n is encoded by a sequence of n 1 1s. _________________________
Unsigned whole numbers in binary are represented by a sequence of 1s, with the number of 1s equal to the value of the number itself.
In binary representation, numbers are expressed using only 0s and 1s. When dealing with unsigned whole numbers, the value of the number determines the length of the sequence of 1s used for its representation. For example, the decimal number 5 would be represented in binary as "11111" since it consists of five consecutive 1s. Similarly, the decimal number 10 would be represented as "1111111111" since it consists of ten consecutive 1s. This encoding scheme allows for a simple and efficient representation of positive whole numbers in binary.
Binary representation provides a concise and efficient way to represent numbers in computing systems. It is the foundation of digital communication and storage, enabling the manipulation and processing of numerical data. Understanding how numbers are encoded in binary is essential for working with computer systems, algorithms, and programming languages.
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Please answer this question
The Pythagorean Theorem is explained in this problem.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
The theorem is expressed as follows:
c² = a² + b².
In which:
c is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.More can be learned about the Pythagorean Theorem at brainly.com/question/30203256
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What is one way the Federal Reserve can reduce the amount of money available in the economy?
A. Raising the discount rate
B. Selling treasury securities
C. Buying treasury securities
D. Lowering the interest on reserves
Answer:
B. Selling treasury securities
Step-by-step explanation:
I'm taking the quiz
The Federal Reserve can reduce the amount of money available in the economy is buying treasury securities.
What is a federal reserve?The Federal Reserve can decrease the money supply by increasing the discount rate. a. Raising the discount rate provides depository institutions a minor incentive to borrow, thereby decreasing their reserves and lending activity. The U.S. government created the Federal Reserve, the nation's central bank, to control the money supply and contain economic calamities.One of the primary objectives of the Federal Reserve exists to function as the lender of last resort, permitting banks to borrow from the central bank when needed.The Fed operates three immediate tools in handling the money supply and observing stable economic growth. The tools exist (1) reserve needs, (2) the discount rate, and (3) open market operations.Each of these controls the money supply in different forms and can be utilized to obtain or develop the economy.The Federal Reserve can decrease the amount of money general in the economy stands buying treasury securities.Therefore, the correct answer exists as option B. Selling treasury securities.
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please help me with this question
The formula for the volume of a sphere is V=4/3πr³, where V is the volume and r is the radius. Solve the formula for r, and then use it to answer the question.
The volume of a soccer ball is about 371 cubic inches.
What is the radius of the soccer ball, to the nearest tenth of an inch? Use 3.14 for π. Help.
Answer:
4.5 inches to the nearest tenth
Step-by-step explanation:
V=4/3πr^3
Divide both sides by 4/3π:
r^3 = V / 4/3π
r = ∛ (V / 4/3 π)
When V = 371 inches:
r = ∛ (371/ 4/3 π)
= 4.46 in
Answer:
B. 4.5 inStep-by-step explanation:
volume of sphere V = 4/3 π r³
where V = 371 in³
π = 3.14
find: radius r
solution:
371 = 4 (3.14) r³
3
simplify:
371 (3) = 4(3.14) r³
371 (3) = r³
4(3.14)
r³ = 1113
12.56
r = \(\sqrt[3]{88.61}\)
r = 4.5 in. therefore, the answer is B.
After 12.6 s, a spinning roulette wheel has slowed down to an angular velocity of 1.32 rad/s. During this time, the wheel has an angular acceleration of -6.07 rad/s² . Determine the angular displacement of the wheel.
The angular displacement of the wheel after 12.6 s is approximately -477.51 rad. This means that the wheel has rotated counterclockwise by 477.51 radians.
To determine the angular displacement of the wheel, we can use the equations of angular motion.
The angular displacement (θ) is related to the initial angular velocity (ω₀), the final angular velocity (ω), and the angular acceleration (α) through the equation: θ = ω₀t + (1/2)αt²
In this case, the initial angular velocity (ω₀) is not given, but we can assume it to be zero since the problem states that the wheel has slowed down.
The final angular velocity (ω) is given as 1.32 rad/s, and the angular acceleration (α) is given as -6.07 rad/s². The time (t) is given as 12.6 s.
Substituting these values into the equation, we have:
θ = 0 + (1/2)(-6.07)(12.6)²
Calculating this expression, we find:
θ ≈ -477.51 rad
The negative sign indicates that the angular displacement is in the opposite direction of the initial motion.
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please can someone help me really fast! i need youuu please it would be a massive help :))